Fibrations with noncommutative fibers

DOI10.4171/JNCG/41zbMath1179.19003arXiv0810.0118OpenAlexW2022564194MaRDI QIDQ2389204

Hervé Oyono-Oyono, Ryszard Nest, Siegfried Echterhoff

Publication date: 15 July 2009

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0118

zbMATH Keywords

\(K\)-theoryLeray-Serre spectral sequencenoncommutative fibrationsnoncommutative principal torus bundles

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Kasparov theory ((KK)-theory) (19K35)

Related Items (8)

\(K\)-theory of noncommutative Bieberbach manifolds ⋮ Deformation of algebras associated with group cocycles ⋮ Equivariant comparison of quantum homogeneous spaces ⋮ On the \(K\)-theory of the \(C^\ast\)-algebra generated by the left regular representation of an Ore semigroup ⋮ 𝐾-theory for generalized Lamplighter groups ⋮ Twisting the \(q\)-deformations of compact semisimple Lie groups ⋮ C∗-Algebras Associated with Algebraic Actions ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Baum-Connes conjecture via localisation of categories
• Equivariant KK-theory and the Novikov conjecture
• Crossed products by \(C_0(X)\)-actions
• The Novikov conjecture for hyperbolic foliations
• The Baum-Connes conjecture for amenable foliations
• The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups
• Counterexamples to the Baum-Connes conjecture
• Permanence properties of \(C^*\)-exact groups
• Going-down functors, the Künneth formula, and the Baum-Connes conjecture
• Fiberwise KK-equivalence of continuous fields of C*-algebras
• The cohomology and $K$-theory of commuting homeomorphisms of the Cantor set
• Locally Inner Actions on $C_0(X)$-Algebras
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
• Principal non-commutative torus bundles
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space

This page was built for publication: Fibrations with noncommutative fibers